Results 41 to 50 of about 1,412,303 (334)

Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

open access: yesMathematics, 2021
The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain   +4 more
doaj   +1 more source

Relativistic Conic Beams and Spatial Distribution of Gamma-Ray Bursts [PDF]

open access: yes, 2000
We study the statistics of gamma-ray bursts, assuming that gamma-ray bursts are cosmological and they are beamed in the form of a conical jet with a large bulk Lorentz factor $\sim 100$.
Heon‐Young Chang, Insu Yi, Renaud N.
core   +6 more sources

Inverses of Gamma Functions [PDF]

open access: yesConstructive Approximation, 2014
Euler's Gamma function $ $ either increases or decreases on intervals between two consequtive critical points. The inverse of $ $ on intervals of increase is shown to have an extension to a Pick-function and similar results are given on the intervals of decrease, thereby answering a question by Uchiyama. The corresponding integral representations are
openaire   +3 more sources

A refinement of a double inequality for the gamma function

open access: yes, 2011
In the paper, we present a monotonicity result of a function involving the gamma function and the logarithmic function, refine a double inequality for the gamma function, and improve some known results for bounding the gamma function.Comment: 8 ...
Guo, Bai-Ni, Qi, Feng
core   +1 more source

Fixed-Time Stabilization of a Class of Stochastic Nonlinear Systems

open access: yesActuators, 2023
This paper investigates an improved fixed-time stability theory together with a state feedback controller for a class of nonlinear stochastic systems.
Zhenzhen Long   +3 more
doaj   +1 more source

Some Gamma Function Inequalities [PDF]

open access: yesMathematics of Computation, 1993
A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio Γ ( x + 1 ) / Γ ( x + s ) \Gamma (x + 1)/\Gamma (x
openaire   +2 more sources

A completely monotonic function involving the tri- and tetra-gamma functions

open access: yes, 2010
The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
core   +1 more source

Two Photon Physics at LEP2; including data Monte-Carlo comparison [PDF]

open access: yes, 1997
A partisan review of some of the most important $\gamma\gamma$ channels accessible at LEP 2, with special stress on the measurement of the photon structure function $F_{2}^{\gamma}$ and on associated problems with Monte Carlo modelling.Comment: 7 pages ...
Miller, D. J.
core   +2 more sources

Optimal bounds for the generalized Euler–Mascheroni constant

open access: yesJournal of Inequalities and Applications, 2018
We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang   +3 more
doaj   +1 more source

Construction Conditions and Applications of a Hilbert-Type Multiple Integral Inequality Involving Multivariable Upper Limit Functions and Higher-Order Partial Derivatives

open access: yesAxioms
Hilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
doaj   +1 more source

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